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Finding the Fourth Proportional to 9,102.92, 13,654.49 and 2,529.18

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Solution

The fourth proportional to 9,102.92, 13,654.49 and 2,529.18 is: 3,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.92 : 13,654.49 = 2,529.18 : x
  2. Step 2: Convert to fraction form
    9,102.92/13,654.49 = 2,529.18/x
  3. Step 3: Cross multiply
    9,102.92x = 13,654.49 × 2,529.18
  4. Step 4: Simplify right side
    9,102.92x = 34,534,663.02
  5. Step 5: Solve for x
    x = 34,534,663.02/9,102.92
  6. Step 6: Final answer
    x = 3,793.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.